If I fight 167 replenished BA per day, I can buy 144 BA and lose no money.

This indeed, does not take into account for +exp times. It also indeed not take into account for Sundays.

However: when I wake up, I spend about 150-160 BA. When I get back from work, I do the same and in this way I spend more than 334 BA per day. This should easily compensate for Tuesday and Saturday +exp times.

No, I do not plan on buying BA on Sundays, however I still might be able to.

Also a NCB usually has a moment in it's lifetime where it can have and keep 100% challenge bonus. A luxury which greatly increases the money gain as well, a luxury which I don't have.
I however have gained a 2-4% challenge bonus during getting those stats, and indeed they are only applicable to me ;)

I know, but I'm at work during Monday and asleep during that time on Sunday. :)

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